155296825344 has 256 divisors, whose sum is σ = 463044096000. Its totient is φ = 51438551040.

The previous prime is 155296825301. The next prime is 155296825349. The reversal of 155296825344 is 443528692551.

155296825344 is a `hidden beast` number, since 1 + 5 + 5 + 29 + 6 + 82 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155296825349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168984117 + ... + 168985035.

It is an arithmetic number, because the mean of its divisors is an integer number (1808766000).

Almost surely, 2^155296825344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155296825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231522048000).

155296825344 is an abundant number, since it is smaller than the sum of its proper divisors (307747270656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155296825344 is an frugal number, since it uses more digits than its factorization.

155296825344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1115 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 155296825344 in words is "one hundred fifty-five billion, two hundred ninety-six million, eight hundred twenty-five thousand, three hundred forty-four".